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Simplifying 0 = 12x2 + 16x + -3 Reorder the terms: 0 = -3 + 16x + 12x2 Solving 0 = -3 + 16x + 12x2 Solving for variable 'x'. Combine like terms: 0 + 3 = 3 3 + -16x + -12x2 = -3 + 16x + 12x2 + 3 + -16x + -12x2 Reorder the terms: 3 + -16x + -12x2 = -3 + 3 + 16x + -16x + 12x2 + -12x2 Combine like terms: -3 + 3 = 0 3 + -16x + -12x2 = 0 + 16x + -16x + 12x2 + -12x2 3 + -16x + -12x2 = 16x + -16x + 12x2 + -12x2 Combine like terms: 16x + -16x = 0 3 + -16x + -12x2 = 0 + 12x2 + -12x2 3 + -16x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 3 + -16x + -12x2 = 0 Factor a trinomial. (1 + -6x)(3 + 2x) = 0Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0.1666666667, -1.5}
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